11121122112 has 28 divisors (see below), whose sum is σ = 29424636096. Its totient is φ = 3707040640.

The previous prime is 11121122083. The next prime is 11121122143. The reversal of 11121122112 is 21122112111.

It is a happy number.

It is a super-3 number, since 3×11121122112³ (a number of 31 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 11121122091 and 11121122100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 28961064 + ... + 28961447.

Almost surely, 2^11121122112 is an apocalyptic number.

11121122112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11121122112 is an abundant number, since it is smaller than the sum of its proper divisors (18303513984).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11121122112 is an equidigital number, since it uses as much as digits as its factorization.

11121122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57922526 (or 57922516 counting only the distinct ones).

The product of its digits is 16, while the sum is 15.

Adding to 11121122112 its reverse (21122112111), we get a palindrome (32243234223).

It can be divided in two parts, 111 and 21122112, that multiplied together give a palindrome (2344554432).

The spelling of 11121122112 in words is "eleven billion, one hundred twenty-one million, one hundred twenty-two thousand, one hundred twelve".